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Simplifying -1b + 9 = -7(1 + -1b) Reorder the terms: 9 + -1b = -7(1 + -1b) 9 + -1b = (1 * -7 + -1b * -7) 9 + -1b = (-7 + 7b) Solving 9 + -1b = -7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 9 + -1b + -7b = -7 + 7b + -7b Combine like terms: -1b + -7b = -8b 9 + -8b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 9 + -8b = -7 + 0 9 + -8b = -7 Add '-9' to each side of the equation. 9 + -9 + -8b = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -8b = -7 + -9 -8b = -7 + -9 Combine like terms: -7 + -9 = -16 -8b = -16 Divide each side by '-8'. b = 2 Simplifying b = 2
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